Answer to Question #148946 in Geometry for solid mensuration

Question

24. A prismatoid has an upper base of 90%, a lower base of 2100%, an altitude of 100 cm, and a midsection of 120? What is its volume?

Answer 1

The volume of prismatoid is given by this formula:

$$V=\dfrac{L}{6}(A_1+4A_m+A_2)$$

where

$A_1$ and $A_2=$ areas of parallel bases

$A_m=$ area of the section midway between $A_1$ and $A_2$

$L=$ the altitude

$$V=\dfrac{100}{6}(90+4(120)+2100)=44500(cm^3)$$